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Finding the Fourth Proportional to 46,469.66, 69,705.86 and 11,409.32

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Solution

The fourth proportional to 46,469.66, 69,705.86 and 11,409.32 is: 17,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,469.66 : 69,705.86 = 11,409.32 : x
  2. Step 2: Convert to fraction form
    46,469.66/69,705.86 = 11,409.32/x
  3. Step 3: Cross multiply
    46,469.66x = 69,705.86 × 11,409.32
  4. Step 4: Simplify right side
    46,469.66x = 795,296,462.62
  5. Step 5: Solve for x
    x = 795,296,462.62/46,469.66
  6. Step 6: Final answer
    x = 17,114.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.